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Finding the Third Proportional to 81,367 and 183,996

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Solution

The third proportional to 81,367 and 183,996 is: 416,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,367 : 183,996 = 183,996 : x
  2. Step 2: Convert to fraction form
    81,367/183,996 = 183,996/x
  3. Step 3: Cross multiply
    81,367x = 183,996 × 183,996
  4. Step 4: Simplify right side
    81,367x = 33,854,528,016
  5. Step 5: Solve for x
    x = 33,854,528,016/81,367
  6. Step 6: Final answer
    x = 416,071.97

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.